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Finding the Third Proportional to 64,364.38 and 140,171

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Solution

The third proportional to 64,364.38 and 140,171 is: 305,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,364.38 : 140,171 = 140,171 : x
  2. Step 2: Convert to fraction form
    64,364.38/140,171 = 140,171/x
  3. Step 3: Cross multiply
    64,364.38x = 140,171 × 140,171
  4. Step 4: Simplify right side
    64,364.38x = 19,647,909,241
  5. Step 5: Solve for x
    x = 19,647,909,241/64,364.38
  6. Step 6: Final answer
    x = 305,260.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.